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Simplifying b2 = -2b + 48 Reorder the terms: b2 = 48 + -2b Solving b2 = 48 + -2b Solving for variable 'b'. Reorder the terms: -48 + 2b + b2 = 48 + -2b + -48 + 2b Reorder the terms: -48 + 2b + b2 = 48 + -48 + -2b + 2b Combine like terms: 48 + -48 = 0 -48 + 2b + b2 = 0 + -2b + 2b -48 + 2b + b2 = -2b + 2b Combine like terms: -2b + 2b = 0 -48 + 2b + b2 = 0 Factor a trinomial. (-8 + -1b)(6 + -1b) = 0Subproblem 1
Set the factor '(-8 + -1b)' equal to zero and attempt to solve: Simplifying -8 + -1b = 0 Solving -8 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1b = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1b = 0 + 8 -1b = 0 + 8 Combine like terms: 0 + 8 = 8 -1b = 8 Divide each side by '-1'. b = -8 Simplifying b = -8Subproblem 2
Set the factor '(6 + -1b)' equal to zero and attempt to solve: Simplifying 6 + -1b = 0 Solving 6 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1b = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1b = 0 + -6 -1b = 0 + -6 Combine like terms: 0 + -6 = -6 -1b = -6 Divide each side by '-1'. b = 6 Simplifying b = 6Solution
b = {-8, 6}
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